He said he likes that the bill would give states flexibility to meet their own needs, and observed that Kasich would be out of office when the bill becomes effective in 2019.
By rule, the Senate only has until September 30 to put the bill to a vote in order for it to pass with a simple majority.
The long-shot bill, which Senate leadership initially dismissed as a distraction, has been steadily gaining steam over the past week, with sponsors Lindsey Graham and Bill Cassidy saying they are close to 50 votes.
The former Republican presidential candidate went on a lengthy Twitter rant on Monday, calling the Graham-Cassidy effort not the "right way" to pursue health care reform.
"Unfortunately, the Graham-Cassidy bill is not a solution that works for Maryland", Hogan, a Republican, said in a statement.
"Only open, bipartisan approaches can achieve true, lasting reforms", the group wrote.
"Healthcare is complicated, it's boring - I don't want to talk about it - the details are confusing, and that's what these guys are relying on", Kimmel said.
But Idaho's senior Republican senator said he's evaluating the proposal as he tries to keep a promise to repeal and replace "Obamacare". "But when he was on this publicity tour, he listed his demands for a health care bill very clearly".
Maryland has benefited more than many states with the expansion of Medicaid under Obamacare, providing coverage to more than 260,000 residents. Yes, Democrats rushed to pass Obamacare - "We have to pass the bill so that you can find out what's in it" - but did so after the nonpartisan CBO had issued a report on its impact.
Sen. Rand Paul (R-Ky.) is at the forefront of the obstruction effort regarding Sens.
"After two weeks of thinking bipartisanship, that flickering candle, might gain some new light, this is the last thing we need", Schumer, from NY, said on the Senate floor earlier this week.